在Python中将一个切比雪夫级数乘以另一个

在Python中将一个切比雪夫级数乘以另一个

要将一个切比雪夫级数乘以另一个,可以使用Python中的polynomial.chebyshev.chebmul()方法。该方法返回一个表示它们的乘积的切比雪夫级数系数的数组。返回两个切比雪夫级数c1 * c2的乘积。参数是系数的序列,从最低阶的“项”到最高阶的,例如,[1,2,3]表示级数T_0 + 2*T_1 + 3*T_2。参数c1和c2是按照从低到高排序的切比雪夫级数系数的一维数组。

步骤

首先,导入所需的库 –

import numpy as np
from numpy.polynomial import chebyshev as C

创建1-D数组的切比雪夫级数系数−

c1 = np.array([1,2,3])
c2 = np.array([3,2,1])

显示系数数组−

print("Array1...\n",c1)
print("\nArray2...\n",c2)

显示数据类型 –

print("\nArray1 datatype...\n",c1.dtype)
print("\nArray2 datatype...\n",c2.dtype)

检查两个数组的维度 –

print("\nDimensions of Array1...\n",c1.ndim)
print("\nDimensions of Array2...\n",c2.ndim)

检查两个数组的形状−

print("\nShape of Array1...\n",c1.shape)
print("\nShape of Array2...\n",c2.shape)

要将一个Chebyshev系列乘以另一个系列,可以使用Python Numpy中的polynomial.chebyshev.chebmul()方法。

print("\nResult (multiplication)....\n",C.chebmul(c1,c2))

示例

import numpy as np
from numpy.polynomial import chebyshev as C

# Create 1-D arrays of Chebyshev series coefficients
c1 = np.array([1,2,3])
c2 = np.array([3,2,1])

# Display the arrays of coefficients
print("Array1...\n",c1)
print("\nArray2...\n",c2)

# Display the datatype
print("\nArray1 datatype...\n",c1.dtype)
print("\nArray2 datatype...\n",c2.dtype)

# Check the Dimensions of both the arrays
print("\nDimensions of Array1...\n",c1.ndim)
print("\nDimensions of Array2...\n",c2.ndim)

# Check the Shape of both the arrays
print("\nShape of Array1...\n",c1.shape)
print("\nShape of Array2...\n",c2.shape)

# To multiply one Chebyshev series to another, use the polynomial.chebyshev.chebmul() method in Python Numpy
print("\nResult (multiplication)....\n",C.chebmul(c1,c2))

输出

Array1...
[1 2 3]

Array2...
[3 2 1]

Array1 datatype...
int64

Array2 datatype...
int64

Dimensions of Array1...
1

Dimensions of Array2...
1

Shape of Array1...
(3,)

Shape of Array2...
(3,)

Result (multiplication)....
[ 6.5 12. 12. 4. 1.5]

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